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Determinants Te...

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  • Question 1
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    The value of the determinant $$\begin{vmatrix}a & b & 0\\ 0 & a & b\\ b & 0 &a \end{vmatrix}$$ is equal to

  • Question 2
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    If $$A$$ is any skew-symmetric matrix of odd order then $$\left| A \right| $$ equals

  • Question 3
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    If $$\begin{vmatrix} 6i & -3i & 1\\ 4 & 3i & -1 \\ 20 & 3 & i\end{vmatrix}=x+iy$$, then

  • Question 4
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    If $$\begin{vmatrix} x & y\\ 4 & 2 \end{vmatrix}=7$$ and $$\begin{vmatrix} 2 & 3\\ y & x \end{vmatrix}=4$$ then

  • Question 5
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    If $$\begin{vmatrix}a & -b & -c\\-a & b & -c \\ -a & -b & -c\end{vmatrix}+\lambda abc=0$$, then $$\lambda$$ is equal to

  • Question 6
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    The cofactors of elements in second row of the determinant $$\begin{vmatrix} 2 & -1 & 4 \\ 4 & 2 & -3 \\1 & 1 & 2 \end{vmatrix}$$ are

  • Question 7
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    A set of points which do not lie on the same line are called as

  • Question 8
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    $$A$$ and $$B$$ are two points and $$C$$ is any point collinear with $$A$$ and $$B$$. IF $$AB=10$$, $$BC=5$$, then $$AC$$ is equal to:

  • Question 9
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    If $$A=\begin{bmatrix} 3 & -5 \\ -1 & 0 \end{bmatrix}$$, then adj. $$A$$ is equal to

  • Question 10
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    The value of the determinant $$\begin{vmatrix} 1 & 2 & 3\\ 3 & 5 & 7\\ 8 & 14 & 20\end{vmatrix}$$ is equal to

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